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MathNet 2019-part-08 — 179 problems (EN–VI) Question 93

Math Olympiad Vault · MathNet 2019-part-08 — 179 problems (EN–VI)

Question 93

Complex numbers $a, b, c$ form an equilateral triangle with side length $18$ in the complex plane. If $|a+b+c|=36$, find $|bc+ca+ab|$.